{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "SCIKIT-LEARN中的逻辑回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "np.random.seed(666)\n",
    "X=np.random.normal(0,1,size=(200,2))\n",
    "y=np.array(X[:,0]**2+X[:,1]<1.5,dtype='int')\n",
    "for _ in range(20):\n",
    "    y[np.random.randint(200)]=1#把y中20个数变成1    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[y==0,0],X[y==0,1])\n",
    "plt.scatter(X[y==1,0],X[y==1,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "x_train,x_test,y_train,y_test=train_test_split(X,y,test_size=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用SCIKIT-LEARn中逻辑回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.825"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "log_reg=LogisticRegression()\n",
    "log_reg.fit(x_train,y_train)\n",
    "log_reg.score(x_train,y_train)#因为模型含有2次项，所以拟合度不高"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg.score(x_test,y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"绘制决策边界的函数\"\"\"\n",
    "def plot_decision_boundary(model, axis):\n",
    "    x0, x1 = np.meshgrid(\n",
    "        np.linspace(axis[0], axis[1], int((axis[1]-axis[0])*100)).reshape(-1, 1),\n",
    "        np.linspace(axis[2], axis[3], int((axis[3]-axis[2])*100)).reshape(-1, 1)\n",
    "    )\n",
    "    X_new = np.c_[x0.ravel(), x1.ravel()]\n",
    "    y_predict = model.predict(X_new)\n",
    "    zz = y_predict.reshape(x0.shape)\n",
    "\n",
    "    from matplotlib.colors import ListedColormap\n",
    "    custom_cmap = ListedColormap(['#EF9A9A', '#FFF59D', '#90CAF9'])\n",
    "\n",
    "    plt.contourf(x0, x1, zz, cmap=custom_cmap)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"分类不好\"\"\"\n",
    "plot_decision_boundary(log_reg,axis=[-4,4,-4,4])\n",
    "plt.scatter(X[y==0,0],X[y==0,1])\n",
    "plt.scatter(X[y==1,0],X[y==1,1])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "引入多项式项"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from  sklearn.pipeline import Pipeline\n",
    "def poly_logistic_reg(degree):\n",
    "    return Pipeline([\n",
    "        (\"poly\",PolynomialFeatures(degree=degree)),\n",
    "        (\"std\",StandardScaler()),\n",
    "        (\"logic\",LogisticRegression())\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.90625"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_logic_reg=poly_logistic_reg(degree=2)\n",
    "poly_logic_reg.fit(x_train,y_train)\n",
    "poly_logic_reg.score(x_train,y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_logic_reg.score(x_test,y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘图\n",
    "plot_decision_boundary(poly_logic_reg,axis=[-4,4,-4,4])\n",
    "plt.scatter(X[y==0,0],X[y==0,1])\n",
    "plt.scatter(X[y==1,0],X[y==1,1])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "正则化，增强泛化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.925"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"使用20次幂，过拟合\"\"\"\n",
    "log_reg2=poly_logistic_reg(degree=20)\n",
    "log_reg2.fit(x_train,y_train)\n",
    "log_reg2.score(x_test   ,y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(log_reg2,axis=[-4,4,-4,4])\n",
    "plt.scatter(X[y==0,0],X[y==0,1])\n",
    "plt.scatter(X[y==1,0],X[y==1,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"使用正则化处理\"\"\"\n",
    "def poly_reg_re(degree,C):\n",
    "    return Pipeline([\n",
    "        (\"poly\",PolynomialFeatures(degree=degree)),\n",
    "        (\"std\",StandardScaler()),\n",
    "        (\"logic\",LogisticRegression(C=C))\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.85"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_reg3=poly_reg_re(degree=20,C=0.1)\n",
    "poly_reg3.fit(x_train,y_train)\n",
    "poly_reg3.score(x_test,y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(poly_reg3,axis=[-4,4,-4,4])\n",
    "plt.scatter(X[y==0,0],X[y==0,1])\n",
    "plt.scatter(X[y==1,0],X[y==1,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"添加正则化规则\"\"\"\n",
    "def poly_reg_re2(degree,C,penalty='l2'):\n",
    "    return Pipeline([\n",
    "        (\"poly\",PolynomialFeatures(degree=degree)),\n",
    "        (\"std\",StandardScaler()),\n",
    "        (\"logic\",LogisticRegression(C=C,penalty=penalty,solver='saga'))\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "z:\\python39\\lib\\site-packages\\sklearn\\linear_model\\_sag.py:349: ConvergenceWarning: The max_iter was reached which means the coef_ did not converge\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "log_reg3=poly_reg_re2(20,C=0.1,penalty='l1')\n",
    "log_reg3.fit(x_train,y_train)\n",
    "plot_decision_boundary(log_reg3,axis=[-4,4,-4,4])\n",
    "plt.scatter(X[y==0,0],X[y==0,1])\n",
    "plt.scatter(X[y==1,0],X[y==1,1])\n",
    "plt.show()#更丝滑"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
